Hydraulics & Fluid Mechanics
According to Bernoulli’s equation for steady ideal fluid flow

velocity and pressure are inversely proportional
principle of conservation of mass holds
total energy is constant throughout
the energy is constant along a stream-line but may vary across streamlines

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Hydraulics & Fluid Mechanics
For laminar flow in a pipe of circular cross-section, the Darcy’s friction factor f is

directly proportional to pipe wall roughness and independent of Reynolds number
inversely proportional to Reynolds number and directly proportional to pipe wall roughness
inversely proportional to Reynolds number and indpendent of pipe wall roughness
directly proportional to Reynolds number and independent of pipe wall roughness

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Hydraulics & Fluid Mechanics
Two dimensional flow occurs when

the magnitude and direction of the velocity do not change from point to point in the fluid
the fluid particles move in plane or parallel planes and the streamline pat-terns are identical in each plane
the velocity of successive fluid par-ticles, at any point, is the same at suc-cessive periods of time
the direction and magnitude of the velocity at all points are identical

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